Answer:
firstly,need to know domain and range
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. t2 (dy/dt) + y2 = ty
Answer:
Step-by-step explanation:
[tex]t^2 \dfrac{dy}{dt}+ y^2 = ty \\ \\ t^2 \dfrac{dy}{dt}-ty = -y^2[/tex]
[tex]\text{by dividing both sides by }{y^2},\text{ we have:}[/tex]
[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- \dfrac{ty}{y^2}= -1[/tex]
[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- t\dfrac{1}{y}= -1[/tex]
[tex]\text{by dividing both sides by }t^2; \text{we have;}[/tex]
[tex]\dfrac{1}{y^2}\dfrac{dy}{dt}- \dfrac{1}{t}\dfrac{1}{y}= -\dfrac{1}{t^2}--- (i)[/tex]
[tex]Let \ v = \dfrac{1}{y}[/tex]
[tex]\dfrac{dv}{dt}= -\dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]
[tex]-\dfrac{dv}{dt}= \dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]
[tex]\text{replace in equation (1); we have}[/tex]
[tex]- \dfrac{dv}{dt}-\dfrac{1}{t}v = -\dfrac{1}{t^2}[/tex]
[tex]- \Big ( \dfrac{dv}{dt}+ \dfrac{1}{t}v \Big) = -\dfrac{1}{t^2}[/tex]
[tex]\dfrac{dv}{dt}+\dfrac{1}{t}v = \dfrac{1}{t^2}[/tex]
[tex]\text{relating above with} \dfrac{dv}{dt}+ P(t) v = Q(t) \text{, we have:}[/tex]
[tex]P(t) = \dfrac{1}{t} \ \ \ , \ \ \ \ Q(t) = \dfrac{1}{t^2}[/tex]
[tex]\mu (t) = e^{\int P(t) \ dt }= e ^{\int \dfrac{1}{t} \ dt}= e^{In|t|}= t[/tex]
[tex]v\mu(t) = \int \mu(t) Q(t) dt + C[/tex]
[tex]vt = \int (t) (\dfrac{1}{t^2})dt + C[/tex]
[tex]vt = \int \dfrac{1}{t}dt + C[/tex]
[tex]vt = Int+C[/tex]
[tex]v = \dfrac{In \ t + C}{t}[/tex]
[tex]\text{substitute } v = \dfrac{1}{y}}, we \ get}[/tex]
[tex]\dfrac{1}{y}=\dfrac{In \ t +C}{t}[/tex]
[tex]\mathbf{y = \dfrac{t}{In \ t + C}}[/tex]
If the probability of an event is
and there are 28 total outcomes, how many favorable outcomes are there?
0 1
04
07
O 28
PLEASE ANSWER AND HURRRRRRY
Answer:
uhhh 28
Step-by-step explanation:
Let me know guys pls
Answer:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/35=15/25
x=35(15)/25
x=21
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?
Answer:
3 hours
Step-by-step explanation:
(60km)/(20km/hr)=3
One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.
The two numbers are 6 and 20 respectively.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that one number is 10 less than 5 times the second number. Their sum is 26.
Let the numbers be [x] and [y] repsectively. Then, we can write that -
x + y = 26 ..... Eq[1]
x = 5y - 10 ..... Eq[2]
We can write -
x + y = 26
5y - 10 + y = 26
6y = 36
y = 6
Then, we can write [x] as -
x = 5 x 6 - 10 = 30 - 10 = 20
x = 20
Therefore, the two numbers are 6 and 20 respectively.
To solve more questions on equation modelling, visit the link below -
https://brainly.com/question/29299318
#SPJ2
y = 4x - 11
4x - y = 11
Systems of equations by substitution
Answer:
............................
Answer:
No Solution
Step-by-step explanation:
Substitute y = 4x - 11 in 4x - y = 11
4x - y = 11
4x - 4x - 11 = 11
-11 = 11
There is no solution because -11 does not equal 11.
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90
During the current month the company started and finished Job A319. The following data were recorded for this job:
Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​
Answer:
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order
I need some help please !
Answer:
With what?
Step-by-step explanation:
HELP ASAP PLS SHOW WORK
Answer:
42
dnndndndndndnd
dndndndndj
An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.
Required:
a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
b. Who is the fastest runner with respect to his or her class? Explain why.
Answer:
Step-by-step explanation:
a.
Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.
b.
Rachel: average - 1st deviation
Kenji: average - 0.25 standard deviation
Nedda: slower than average so it's definitely not her.
Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,
So, Rachel is the faster one.
If x=9 in what is the surface area of the geometric shape formed by this net?
Answer:
1134 in²Step-by-step explanation:
Surface area is:
x²*2 + 3x*x*4 = 14x²Substitute x:
14x² = 14*9² = 1134 in²The legend on a map states that 1 inch
is 250 miles. If you measure 3 inches
on the map, how many miles would
the actual distance be?
4. (05.02)
Find the measure of angle x in the figure below:
(5 points)
χο
Υ
55
30'
95ο
55ο
Ο Ο Ο Ο
30ο
850
Answer:
95 degrees
Step-by-step explanation:
use a calculator
Consider the first four terms of the sequence below.
1, -1/2, 1/4, -1/8, ...
What is the 8th term of this sequence?
A. -1/256
B. 1/128
C. -1/128
D. 1/256
Answer:
the answer is C.-1/128......
A road is 3/5
of a mile long. A crew needs to repave 3/7
of the road. How long is the section that needs to be repaved?
Write your answer is simplest form.
Answer:
9/35
Step-by-step explanation:
3/5 x 3/7
A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation
1. The faucet leaks 4/5 liter per hour.
2. The faucet leaks 5/4 liter per hour.
3. The faucet leaks 2/5 liter per 1/2 hour.
4. The faucet leaks 3/8 liter per 1/2 hour
5. The faucet leaks 3/10 liter per 1/2 hour.
Answer:
A & C
Step-by-step explanation:
Please just trust me
Answer:The faucet leaks 4/5 liter per hour.
The faucet leaks 2/5 liter per 1/2 hour.
Step-by-step explanation:
Can someone help me with a two step equatio that is x=2
the coast of 16 pens is rupees 256. Find the cost of 13 pens.
No it's not is 67 and 23
Answer:
What?
Step-by-step explanation:
I don't understand.
2, 3,6
Write the fact family formed by these numbers.
Answer:
♀️
Step-by-step explanation:
villian
Answer:
2, 3, and 6:
2 X 3 = 6,
3 X 2 = 6,
6 � 2 = 3
6 � 3 = 2.
Hope it helps
Please mark me as the brainliest
Thank you
Pat finds that the length of a ceiling beam is 114 inches what is the length of the beam in feet.
how to work it out in a problem
Answer:
farted farted fartedfarted
Answer
Step-by-step explanation:
Hace 9 meses que no llueve cual es el número entero
hnAnswer:
gjunn
Step-by-step explanation:
Answer:
en un menos de 9 meses
ya que es desmunusion es de 0
Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^
which is the better price?
$5.36 for 20 oz.
or $9.27 for 48 oz.
Answer:
$9.27 for 48 oz.
Can someone please help me I don’t understand
Answer:
The ship is traveling at 25 mph
Step-by-step explanation:
12.5/0.5=25
25/1=25
37.5/1.5=25
The speed is constant (25) so the ship is moving at 25 mph
Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17
Answer:
hi!
First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer
she gives to each of her friends 90:6(friends)=15 beads for each (answer B)
hope i helped!
ig: landonorris
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Write an expression to represent “7 less than 6 times a number n.”
Answer:
7 < 6n
Step-by-step explanation:
Answer:
6n-7
Step-by-step explanation:
7 Less = -7
6 x n = 6n
Combine an expression we get 6n - 7
Which of the following are reasons that a sampling technique may not be scientific.
a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Answer:
b. The graphs are drawn in a way to mislead the reader.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Step-by-step explanation:
The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.
Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.
Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.
A sampling may not be scientific if;
The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.Learn more about sampling: https://brainly.com/question/857770
[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.
Selena has 3 bagels. She wants the bagels for breakfast for 5 days. If she eats the same amount of bagel each day, how much bagel should she eat each day for breakfast.
Answer:
0.6
Step-by-step explanation: